Geometry Lessons for Grade 11
Connect equations with ellipses, parabolas, and hyperbolas; use vectors for direction and magnitude; and interpret trigonometric geometry on the coordinate plane. These lessons give each idea room for an interactive diagram, worked examples, and hands-on exploration.
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Ellipse
An ellipse is the set of points whose distances from two foci have a constant sum.
Open lesson →Parabola
A parabola is the set of points equidistant from a focus and a directrix.
Open lesson →Torus
A torus is a doughnut-shaped surface formed by rotating a circle around an axis outside the circle.
Open lesson →Sine
Sine is the ratio of opposite side to hypotenuse in a right triangle.
Open lesson →Cosine
Cosine is the ratio of adjacent side to hypotenuse in a right triangle.
Open lesson →Tangent Ratio
Tangent is the ratio of opposite side to adjacent side in a right triangle.
Open lesson →Locus
A locus is the set of all points that satisfy a given condition.
Open lesson →Vectors
A vector has both magnitude and direction.
Open lesson →Fractals
Fractals are self-similar patterns that repeat at different scales.
Open lesson →Non-Euclidean Geometry
Non-Euclidean geometry studies spaces where Euclid's parallel assumptions do not hold, such as spherical geometry.
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